Domain wall fermion

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Domain wall fermions are a special formulation of chiral fermions in the lattice theory .

The idea of ​​domain wall fermions goes back to a proposal by Kaplan , which was further developed by Shamir for numerical simulation. With this formulation of fermions on the grid, this is expanded by an additional dimension. The effect in the physical dimensions essentially corresponds to that of Wilson fermions . The coupling to the additional dimension means that the fermionic states of different chirality are separated on the walls of the additional dimension - they drop exponentially in the additional dimension - and can thus be treated separately.

Domain wall fermions represent a way of circumventing the problem described in the Nielsen-Ninomiya theorem in generating chiral particles in a discretized version of a field theory .

literature

  • DB Kaplan, Phys. Lett. B288 (1992) 342
  • Y. Shamir, Chiral fermions from lattice boundaries , Nucl. Phys. B406 (1993) 90